Each of J, K, L, M and N is a linear transformation from R? to R². These functions are given as follows: J(x1, x2) = (3x1 – 5x2, –6x1 + 10x2), K(x1, x2) = (-V3x2, 3x1), L(x1, x2) = (x2, –x1), M(x1, x2) = (Зх1 + 5х, бх1 — бх2), N(x1, x2) = (-V5x1, v5x2). (a) In each case, compute the determinant of the transformation. . det J= ,det K ,det L= ,det M= ,det N

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 33RE
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Each of J, K, L, M and N is a linear transformation from R2 to R².
These functions are given as follows:
Jx1, х2) %3D (Зхі — 5х2, —6х1 + 10x),
K(x1, x2) = (-V3x2, 3x1),
L(x1, x2) = (x2, –x1),
M(x1, x2) =
(Зх1 + 5х, бх1 — бх2),
N(x1, x2) = (-v5x1, v5x2).
(a) In each case, compute the determinant of the transformation. .
det J=
,det K
,det L=
,det M=
,det N
Transcribed Image Text:Each of J, K, L, M and N is a linear transformation from R2 to R². These functions are given as follows: Jx1, х2) %3D (Зхі — 5х2, —6х1 + 10x), K(x1, x2) = (-V3x2, 3x1), L(x1, x2) = (x2, –x1), M(x1, x2) = (Зх1 + 5х, бх1 — бх2), N(x1, x2) = (-v5x1, v5x2). (a) In each case, compute the determinant of the transformation. . det J= ,det K ,det L= ,det M= ,det N
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